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A110672 Sequence is {a(7,n)}, where a(m,n) is defined in sequence A110665. 7
0, 1, 7, 25, 59, 98, 104, 7, -293, -926, -2064, -3945, -6897, -11349, -17829, -26964, -39498, -56328, -78540, -107426, -144482, -191408, -250132, -322858, -412114, -520775, -652061, -809537, -997143, -1219254, -1480740, -1786995, -2143935, -2557998, -3036180, -3586107, -4216107 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..36.

FORMULA

Empirical g.f.: x*(1-2*x) / ((1-x)^7*(1-x+x^2)^2). - Colin Barker, Jul 09 2016

EXAMPLE

a(0,n): 0, 1, 0, -3, -4,...

a(1,n): 0, 1, 1, -2, -6,...

a(2,n): 0, 1, 2, 0, -6,...

a(3,n): 0, 1, 3, 3, -3,...

a(4,n): 0, 1, 4, 7, 4,...

Main diagonal of array is 0, 1, 2, 3, 4,...

MAPLE

A11066x := proc(mmax, nmax) local a, i, j ; a := array(0..mmax, 0..nmax) ; a[0, 0] := 0 ; for i from 1 to nmax do a[0, i] := i-sum(binomial(2*i-k-1, i-1)*a[0, k], k=0..i-1) : od ; for j from 1 to mmax do a[j, 0] := 0 ; for i from 1 to nmax do a[j, i] := a[j-1, i]+a[j, i-1] ; od ; od ; RETURN(a) ; end : nmax := 100 : m := 7: a := A11066x(m, nmax) : for n from 0 to nmax do printf("%d, ", a[m, n]) ; od ; # R. J. Mathar, Sep 01 2006

CROSSREFS

Cf. A110665, A110666, A110667, A110668, A110669, A110670, A110671.

Sequence in context: A155231 A155261 A268239 * A213481 A266709 A162264

Adjacent sequences:  A110669 A110670 A110671 * A110673 A110674 A110675

KEYWORD

easy,sign

AUTHOR

Leroy Quet, Aug 02 2005

EXTENSIONS

More terms from R. J. Mathar, Sep 01 2006

STATUS

approved

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Last modified November 22 02:58 EST 2019. Contains 329383 sequences. (Running on oeis4.)